Respuesta :

renknee

Answer:

x = 17

Step-by-step explanation:

1. First, we should know that all angles in any triangle add up to 180°.

  • This means that x + 17 + 6x + 10 + 4x - 34 = 180

2. (Solving)

Step 1: Simplify both sides of the equation.

  • [tex](x+6x+4x)+(17+10-34)=180[/tex]
  • [tex]11x -7 = 180[/tex]

Step 2: Add 7 to both sides.

  • [tex]11x - 7 + 7 = 180 + 7[/tex]
  • [tex]11x = 187[/tex]

Step 3: Divide both sides by 11.

  • [tex]\frac{11x}{11} =\frac{187}{11}[/tex]
  • [tex]x = 17[/tex]

Step 4: Check if solution is correct.

  • [tex](17)+17+6(17)+10+4(17)-34=180[/tex]
  • [tex]17 + 17 + 102 + 10 + 68 - 34 = 180[/tex]
  • [tex]214 - 34 = 180[/tex]
  • [tex]180 = 180[/tex]

Therefore, x = 17.

mathgenius89

Answer:

x=17

Reasoning:

The three interior angles of a triangle will always have a sum of 180°. Thus, you could make an algebraic equality with this information.

[tex]6x+x+4x+17+10-34=180[/tex]

[tex]11x-7=180[/tex]

[tex]11x=187[/tex]

[tex]\frac{11x}{11} =\frac{187}{11}[/tex]

[tex]x=17[/tex]

Otras preguntas